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An analysis has been carried out to study the non-Darcy flow behavior and heat transfer characteristics of a non-Newtonian power law fluid over a non-isothermal stretching sheet with variable thermal conductivity and internal heat generation/absorption. Thermal conductivity is assumed to vary as a linear function of temperature. The partial differential equations governing the flow and heat transfer are converted into ordinary differential equations by a similarity transformation. The presence of non-Darcy forced convection and power law index leads to coupling and non-linearity in the boundary value problem. Because of the coupling and non-linearity, the problem has been solved numerically by the Keller box method. The computed values of horizontal velocity and temperature, boundary layer thickness are shown graphically in tables and figures. Several reported works on the problem are obtained as limiting cases of the present study. The results of the study have implications in extrusion processes and in other applications with porous media.
Słowa kluczowe
Rocznik
Tom
Strony
473--488
Opis fizyczny
Bibliogr. 32 poz., tab., wykr.
Twórcy
autor
autor
- Department of Mathematics, Central College Campus Bangalore University Bangalore 560 001, INDIA, prasadkv@bub.ernet in
Bibliografia
- Abel M.S. and Veena P.H. (1998): Visco-elastic fluid flow and heat transfer in a porous medium over a stretching sheet. - Int. J. Non-Linear Mechanics, vol.33, pp.531-538.
- Andersson H.I., Bech K.H. and Dandapat B.S. (1992): Magnetohydrodynamic flow of a power-law fluid over a stretching sheet. - Int. J. Non-Linear Mech, vol.27, No.6, pp.929-936.
- Andersson H.I. and Dandapat B.S. (1991): Flow of a power law fluid over a stretching sheet. - Stability Appl. Anal. Continous Media, vol.1, pp.339-347.
- Andersson H.I. and Kumaran V.K. (2006): On sheet motion of power law fluids. - Int. J. of Non-Linear Mechanics, vol.41, pp.1228-1234.
- Bear J. (1988): Dynamics of Fluids in Porous Media. - Dover Publications.
- Cebeci T. and Bradshaw P. (1984): Physical and Computational Aspects of Convective Heat Transfer. - New York: Springer-Verlag.
- Chen G. and Hadim H.A. (1998): Forced convection of a power law fluid in a porous channel-numerical solutions. - Heat and Mass Transfer, vol.34, pp.221-228.
- Chiam T.C. (1997): Heat transfer in a fluid with variable thermal conductivity over a linearly stretching sheet. - Acta Mech, vol.129, pp.63-72.
- Crane L.J. (1970): Flow past a stretching plate. - ZAMP, vol.21, pp.645-647.
- Denier J.P. and Dabrowski P.P. (2004): On the boundary layer equations for power law fluids. - Proc. R. Soc., London, Ser, A 460, pp.3143-3158.
- Forchhiemer P. (1901): Wasserbewegung Durch. - Boden Zeischrift Ver. D. Ing, vol.45, pp.1782-1788.
- Grosan T., Postelnicu A. and Pop I. (2004): Free convection boundary layer over a vertical cone in a non-Newtonian fluid saturated porous medium with internal heat generation. - Technische Mechanik, Band 24, Heft 4, pp.91-104.
- Hassanien I.A., Abdullah A.A. and Gorla R.S.R. (1998): Flow and heat transfer in a power law fluid over a non-isothermal stretching sheet. - Math. Comput. Model, vol.28, pp.105-116.
- Jadhav B.P. and Waghmode B.B. (1990): Heat transfer to non-Newtonian power law fluid past a continuously moving porous flat plate with heat flux. - Warme-Und Stoffubertragung, vol.25, pp.377-380.
- Keller H.B (1992): Numerical Methods for Two-point Boundary Value Problems. - New York: Dover Publ.
- Muskat M. (1946): The Flow of Homogeneous Fluids through Porous Media. - Edwards MI.
- Nakayama A. (1993): Free convection about a horizontal line heat source in power law fluid saturated porous medium. - Int. J. Heat and Fluid Flow, vol.14, pp.279-283.
- Nield D.A. and Bejan A. (1992): Convection in Porous Media. - New York: Springer-Verlag.
- Prasad K.V., Abel M.S. and Khan S.K. (2000): Momentum and heat transfer in a visco-elastic fluid flow in a porous medium over a non-isothermal stretching sheet. - Int. J. Numer. Methods for heat and fluid flow, vol.10, No.8, pp.786-801.
- Rees D.A.S. and Bassom A.P. (1996): The Blasius boundary-layer flow of a micropolar fluid. - Int. J. Eng. Sci., vol.34, pp.113-124.
- Rees D.A.S. and Pop I. (1998): Free convection boundary-layer flow of a micropolar fluid from a vertical flat plate. - IMA J. Appl. Math, vol.61, pp.179-197.
- Rees D.A.S and Pop I. (2001): The effect of g-jitter on free convection near a stagnation point in a porous medium. - Int. J. Heat Mass Transfer, vol.44, pp.877-883.
- Sahu A.K., Mathur M.N., Chaturani P. and Saxena S.B. (2000): Momentum and heat transfer from a continuous moving surface to a power law fluid. - Acta Mech., vol.142, pp.119-131.
- Sakiadis B.C. (1961): Boundary layer behaviour on continuous solid surfaces. - A.I.Ch.E.J., vol.7, pp.26-28.
- Savvas T.A., Markatos N.C. and Papaspyrides C.D. (1994): On the flow of non-Newtonian polymer solutions. - Appl. Math. Modell, vo1.8, pp.14-22.
- Shenoy A.V. (1993): Darcy-Forchhiemer natural forced and mixed convection heat transfer in a non-Newtonian power law fluid saturated porous media. - Trans. Porous Media, vol.11, pp.219-241.
- Shenoy A.V. (1994): Non-Newtonian fluid heat transfer in porous media. - Adv. Heat Transfer, vol.24, pp.101-190.
- Siddheshwar P.G. and Mahabaleswar U.S. (2005): Effects of radiation and heat source on MHD flow of a viscoelastic liquid and heat transfer over a stretching sheet. - Int. J. of Non-Linear Mech., vol.40, No.6, pp.807-820.
- Skelland A.H.P. (1967): Non-Newtonian Flow and Heat Transfer. - New York: John Wiley.
- Vafai K. (2000): Hand Book of Porous Media. - Marcel Dekker.
- Vajravelu K. (1994): Flow and heat transfer in a saturated porous medium over a stretching surface. - ZAMM, vol.74, pp.605-614.
- Zheng L.C. and Zhang X.X. (2002): Skin friction and heat transfer in power law fluid laminar boundary layer along a moving surface. - Int. J. Heat and Mass Transfer, vol.45, pp.2667-2672.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0041-0012